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Finding the Fourth Proportional to 4,626.15, 6,939.16 and 1,116.13

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Solution

The fourth proportional to 4,626.15, 6,939.16 and 1,116.13 is: 1,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.15 : 6,939.16 = 1,116.13 : x
  2. Step 2: Convert to fraction form
    4,626.15/6,939.16 = 1,116.13/x
  3. Step 3: Cross multiply
    4,626.15x = 6,939.16 × 1,116.13
  4. Step 4: Simplify right side
    4,626.15x = 7,744,968.25
  5. Step 5: Solve for x
    x = 7,744,968.25/4,626.15
  6. Step 6: Final answer
    x = 1,674.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.